Published February 8, 2024 | Version v1
Publication Open

n − θ operators class on Hilbert spaces

Creators

  • 1. Centre Hospitalo-Universitaire Bab El Oued

Description

Abstract We know that researchers have already studied θ-operator. In this paper we will extend it to n-θ operator, and apply this type of operator to solve Sylvester equation using Fuglede-Putnam theorem.

⚠️ This is an automatic machine translation with an accuracy of 90-95%

Translated Description (Arabic)

الخلاصة نحن نعلم أن الباحثين قد درسوا بالفعل θ - operator. في هذه الورقة سنقوم بتوسيعه ليشمل عامل n - θ، وتطبيق هذا النوع من المشغل لحل معادلة سيلفستر باستخدام نظرية Fuglede - Putnam.

Translated Description (French)

Résumé Nous savons que les chercheurs ont déjà étudié θ-operator. Dans cet article, nous l'étendrons à l'opérateur n-θ et appliquerons ce type d'opérateur pour résoudre l'équation de Sylvester en utilisant le théorème de Fuglede-Putnam.

Translated Description (Spanish)

Resumen Sabemos que los investigadores ya han estudiado el operador θ. En este trabajo lo extenderemos al operador n-θ, y aplicaremos este tipo de operador para resolver la ecuación de Sylvester utilizando el teorema de Fuglede-Putnam.

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Additional details

Additional titles

Translated title (Arabic)
n θ فئة المشغلين على مساحات هيلبرت
Translated title (French)
classe des opérateurs n − θ sur les espaces de Hilbert
Translated title (Spanish)
clase de operadores n − θ en espacios de Hilbert

Identifiers

Other
https://openalex.org/W4391635180
DOI
10.21203/rs.3.rs-3915312/v1

Is supplement to
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https://openalex.org/W2042127053 (Other)
https://openalex.org/W2007980826 (Other)
https://openalex.org/W1979597421 (Other)
https://openalex.org/W1587224694 (Other)

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Algeria

References

  • https://openalex.org/W1977808329
  • https://openalex.org/W2017301281
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